{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as st\n",
    "from sklearn.ensemble import RandomForestClassifier, GradientBoostingRegressor\n",
    "\n",
    "from econml.metalearners import TLearner\n",
    "from econml.dml import DML\n",
    "\n",
    "from econml.validate.drtester import DRTester"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Generate Data\n",
    "\n",
    "Setting with 5 continuous covariates, 2 categorical treatments (and a control), and a continous outcome. Treatment assignment is based on the covariates and random noise. The outcome is based on covariates, treatment, and random noise. For the second treatment, the effect is conditional on the second covariate (X[:, 1])."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "\n",
    "N = 20000  # number of units\n",
    "K = 5  # number of covariates\n",
    "num_treatments = 2 # number of treatments (excluding control)\n",
    "\n",
    "# Generate random Xs\n",
    "X_mu = np.zeros(5)  # Means of Xs\n",
    "# Random covariance matrix of Xs\n",
    "X_sig = np.diag(np.random.rand(5))\n",
    "X = st.multivariate_normal(X_mu, X_sig).rvs(N)\n",
    "\n",
    "# Effect of Xs on outcome\n",
    "X_beta = np.random.uniform(0, 5, K)\n",
    "# Effect of treatment on outcomes\n",
    "D_beta = np.array([0, 1, 2])\n",
    "# Effect of treatment on outcome conditional on X1\n",
    "DX1_beta = np.array([0, 0, 3])\n",
    "\n",
    "# Generate treatments based on X and random noise\n",
    "beta_treat = np.random.uniform(-1, 1, (num_treatments + 1, K))\n",
    "D1 = np.zeros((N, num_treatments + 1))\n",
    "for k in range(num_treatments + 1):\n",
    "    D1[:, k] = X @ beta_treat[k, :] + np.random.gumbel(0, 1, N)\n",
    "D = np.array([np.where(D1[i, :] == np.max(D1[i, :]))[0][0] for i in range(N)])\n",
    "D_dum = pd.get_dummies(D)\n",
    "\n",
    "# Generate Y (based on X, D, and random noise)\n",
    "Y_sig = 1  # Variance of random outcome noise\n",
    "Y = X @ X_beta + (D_dum @ D_beta) + X[:, 1] * (D_dum @ DX1_beta) + np.random.normal(0, Y_sig, N)\n",
    "Y = Y.to_numpy()\n",
    "\n",
    "# Split into training/validation samples\n",
    "train_prop = .5\n",
    "train_N = np.ceil(train_prop * N)\n",
    "ind = np.array(range(N))\n",
    "train_ind = np.random.choice(N, int(train_N), replace=False)\n",
    "val_ind = ind[~np.isin(ind, train_ind)]\n",
    "\n",
    "Xtrain, Dtrain, Ytrain = X[train_ind], D[train_ind], Y[train_ind]\n",
    "Xval, Dval, Yval = X[val_ind], D[val_ind], Y[val_ind]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Validation\n",
    "We use a simple (un-tuned) random forest classifier to predict treatment and an un-tuned gradient boosted regressor to predict outcomes. In the true data, there is heterogeneity by the second covariate (X[:, 1]) for the second treatment (D = 2) but not for the first (D = 1). Therefore, we should see a more significant blp_est, more significant qini coefficient, and higher calibration r-squared for the second treatment. We can also plot the calibration for each treatment. There should be a strong positive relationship for treatment 2 but a flat relationship for treatment 1.\n",
    "\n",
    "We test two CATE models: a double machine learning (DML) estimator and a simple T-learner."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_regression = GradientBoostingRegressor(random_state=0)\n",
    "model_propensity = RandomForestClassifier(random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The final model has a nonzero intercept for at least one outcome; it will be subtracted, but consider fitting a model without an intercept if possible.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<econml.dml.dml.DML at 0x7f7b4836cd00>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "est_t = TLearner(models=model_regression)\n",
    "est_dm = DML(model_y=model_regression, model_t=model_propensity, model_final=model_regression, discrete_treatment=True)\n",
    "\n",
    "est_t.fit(Ytrain, Dtrain, X=Xtrain)\n",
    "est_dm.fit(Ytrain, Dtrain, X=Xtrain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>treatment</th>\n",
       "      <th>blp_est</th>\n",
       "      <th>blp_se</th>\n",
       "      <th>blp_pval</th>\n",
       "      <th>qini_est</th>\n",
       "      <th>qini_se</th>\n",
       "      <th>qini_pval</th>\n",
       "      <th>autoc_est</th>\n",
       "      <th>autoc_se</th>\n",
       "      <th>autoc_pval</th>\n",
       "      <th>cal_r_squared</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>0.044</td>\n",
       "      <td>0.238</td>\n",
       "      <td>0.854</td>\n",
       "      <td>-0.009</td>\n",
       "      <td>0.023</td>\n",
       "      <td>0.352</td>\n",
       "      <td>-0.011</td>\n",
       "      <td>0.054</td>\n",
       "      <td>0.42</td>\n",
       "      <td>-9.922</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1.032</td>\n",
       "      <td>0.062</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.373</td>\n",
       "      <td>0.024</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.049</td>\n",
       "      <td>0.058</td>\n",
       "      <td>0.00</td>\n",
       "      <td>-0.090</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   treatment  blp_est  blp_se  blp_pval  qini_est  qini_se  qini_pval  \\\n",
       "0          1    0.044   0.238     0.854    -0.009    0.023      0.352   \n",
       "1          2    1.032   0.062     0.000     0.373    0.024      0.000   \n",
       "\n",
       "   autoc_est  autoc_se  autoc_pval  cal_r_squared  \n",
       "0     -0.011     0.054        0.42         -9.922  \n",
       "1      1.049     0.058        0.00         -0.090  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Initialize DRTester and fit/predict nuisance models\n",
    "dml_tester = DRTester(\n",
    "    model_regression=model_regression,\n",
    "    model_propensity=model_propensity,\n",
    "    cate=est_dm\n",
    ").fit_nuisance(Xval, Dval, Yval, Xtrain, Dtrain, Ytrain)\n",
    "\n",
    "res_dml = dml_tester.evaluate_all(Xval, Xtrain)\n",
    "res_dml.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Calibration R^2 = -9.922'}, xlabel='Group Mean CATE', ylabel='GATE'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_cal(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Calibration R^2 = -0.09'}, xlabel='Group Mean CATE', ylabel='GATE'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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bV9u3b8+2z/bt21W+fPk8Q1WdOnVUvnz5XPevW7euyy8i3bt316FDh7R3715lZGSofv36Wrx4sSSpffv2+b5PFD2CCopEr1699NJLLyk4ODjPUxVZP1Cu/E3fGKPZs2dn6+vj41Po33rz0q1bN3l5eWnfvn363e9+VyTHdPe3ZKloT/1s27ZNnTt3Vs2aNbVmzRpVrly5wHXkpFq1anrooYc0a9YsvfvuuzleDLtv3z6lpqYqKipKDodD5cqVcwkMiYmJBbrrJy8ffPCByx0YixcvVkZGhu6888589y2uudapUyctW7ZMR44cca6iSL+tfPj5+RXodM61mD59upYsWaIJEyZowIAB13w6Iiuk7N+/X2vWrFHz5s3d2r+oTv2EhYW5jOeV+vfvr9dee00JCQnOU24pKSlaunSp+vTpk+dpMC8vL/Xu3VtLly7V9OnT5e/vL+m3FbeYmBiNHj062z4Oh0P16tWTJF28eFH//Oc/1axZM4KKhxBUUCRGjRqlJUuWqH379ho9erSioqKUmZmpw4cP64svvtCYMWN0++23q0uXLipXrpwGDRqkcePG6cKFC5o1a5bOnDmT7ZhNmjTR0qVLNWvWLLVo0UJlypRx/mZ5LSIjIzVlyhS98MIL2r9/v+6++25VrlxZx44d06ZNm1ShQgWXJeiC8Pf3V0REhD755BN16tRJQUFBCgkJUWRkZK77FMV7kX67C6Vz586SpL/+9a/65ZdfXP5yaZ06dVzuQHI4HOrQoUO+f0X31Vdf1f79+zV06FB9/vnn6t+/v6pWraqTJ09qzZo1mjdvnhYuXKioqCjn7cGPP/647rnnHiUkJOgvf/mLqlevXqC/opqbpUuXysvLS126dHHe9dO0aVMNHDgw332La65NnDhRn376qTp27KgJEyYoKChIH3zwgVauXKnp06df00pWQVSuXFnPPfecxo0bpwULFuj+++8v9LHOnz/vvC3/tddeU0ZGhjZu3Oh8vkqVKqpTp06ex2jQoEGhX7+gnnnmGb333nvq2bOnpkyZIh8fH02bNk0XLlzIdut43bp1JUl79+51tk2ePFm33XabevXqpfHjx+vChQuaMGGCQkJCNGbMGJf9R44cqTvvvFPBwcHav3+//vWvf+nXX38t0KoRiolnr+WFzXK766dRo0Y59j937px58cUXTYMGDUy5cuVMYGCgadKkiRk9erRJTEx09luxYoVp2rSp8fX1NTVq1DBjx441n332mZFkYmJinP1Onz5t7rnnHlOpUiXjcDhM1nTNukvk5Zdfdnn9rLssPvroI5f23P5w1vLly03Hjh1NQECA8fHxMREREeaee+4xa9euzXMMjPnfXSlXWrt2rWnevLnx8fG5prsc3JX1/nJ7XHk3TUpKipFk7r333gIdOyMjw8yfP9/cddddJigoyHh5eZkqVaqY7t27mwULFrjcFTJt2jQTGRlpfHx8TMOGDc3s2bNzHCd37vrZunWr6d27t6lYsaLx9/c3gwYNMseOHct2vJ49e+ZY/7XONWOy3/VjjDHbt283vXv3NoGBgaZcuXKmadOm2e7Oym0+5vR+c5LbvDXmt78afNNNN5l69eqZjIyMPI+Tl6xacnuU1BwuiL1795p+/fqZgIAA4+fnZzp16mS2bt2arV9ERESOd3Bt2bLFdOrUyfj5+ZmAgADTr18/s3fv3mz9+vbta6pXr268vb1NtWrVzNChQ13+0BxKnsOYAlwFBeC6sGrVKvXq1Us//PCDmjRp4ulyACBf3GsF3EBiYmJ07733ElIAlBqsqAAAAGuxogIAAKxFUAEAANYiqAAAAGsRVAAAgLVK9R98y8zM1JEjR+Tv71+gD6UCAACeZ4xRSkqKwsLC8v3ryqU6qBw5ciTbJ5gCAIDSISEhQTVr1syzT6kOKlmf2ZCQkKCAgAAPVwMAAAoiOTlZ4eHhzp/jeSnVQSXrdE9AQABBBQCAUqYgl21wMS0AALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1rImqEydOlUOh0OjRo3ydCkAAMASVgSVzZs366233lJUVJSnSwEAABbxeFA5d+6c7rvvPs2ePVuVK1f2dDkAAEBS2sUMRY5fqcjxK5V2McNjdXg8qIwYMUI9e/ZU586d8+2bnp6u5ORklwcAALh+eXnyxRcuXKjvv/9emzdvLlD/qVOnavLkycVcFQAAsIXHVlQSEhL01FNP6f3335evr2+B9nnuueeUlJTkfCQkJBRzlQAAwJM8tqKydetWHT9+XC1atHC2Xb58WXFxcZoxY4bS09NVtmxZl318fHzk4+NT0qUCAAAP8VhQ6dSpk7Zv3+7S9sADD+jmm2/Ws88+my2kAACAG4/Hgoq/v78aN27s0lahQgUFBwdnawcAADcmj9/1AwAAkBuP3vVztdjYWE+XAAAALMKKCgAAsBZBBQAAWIugAgAA8nTwZJrHXpugAgAAXJxNu6jh87c6t3v862v9ac4mJaVdKvFaCCoAAMDFkx9u04Z9J13avt17UiM/jC/xWggqAADAaf+Jc4r75YQyr2q/bIzifjmhAydTS7QeggoAAHA6dDrv61EOniKoAAAAD4kI8svz+cjgCiVUyW8IKgAAwKl2lYpqX69KtoBQ1uFQ+3pVVCuEoAIAADzo9UHNFV0nxKWtbd0QvT6oeYnXQlABAAAuAv28NXtIC+f2qifb6d1hrRTo513itRBUAABAniJD8r5upTgRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAa3l5ugAAAGAfv3JeOjitp6fLYEUFAADYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYy6NBZdasWYqKilJAQIACAgIUHR2tzz77zJMlAQAAi3g0qNSsWVPTpk3Tli1btGXLFt11113q27evfv75Z0+WBQAALOEwxhhPF3GloKAgvfzyyxo2bFi+fZOTkxUYGKikpCQFBASUQHUAAOBaufPz26uEasrX5cuX9dFHHyk1NVXR0dGeLgcAAFjA40Fl+/btio6O1oULF1SxYkUtW7ZMt9xyS45909PTlZ6e7txOTk4uqTIBAIAHePyunwYNGmjbtm3auHGjHnvsMQ0ZMkQ7duzIse/UqVMVGBjofISHh5dwtQAAoCRZd41K586dVadOHb355pvZnstpRSU8PJxrVAAAKEVK5TUqWYwxLmHkSj4+PvLx8SnhigAAgKd4NKg8//zz6t69u8LDw5WSkqKFCxcqNjZWq1ev9mRZAADAEh4NKseOHdPgwYN19OhRBQYGKioqSqtXr1aXLl08WRYAALCER4PKnDlzPPnyAADAch6/6wcAACA3BBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAUg7SLGYocv1KR41cq7WKGp8sBSi2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAUMwOnkzzdAlAqUVQAYAidjbtoobP3+rc7vGvr/WnOZuUlHbJg1UBpRNBBQCK2JMfbtOGfSdd2r7de1IjP4z3UEVA6UVQAYAitP/EOcX9ckKZV7VfNkZxv5zQgZOpHqkLKK0IKgBQhA6dzvt6lIOnCCqAOwgqAFCEIoL88nw+MrhCCVUCXB8IKgBQhGpXqaj29apk++Za1uFQ+3pVVCuEoAK4g6ACAEXs9UHNFV0nxKWtbd0QvT6ouYcqAkovggoAFLFAP2/NHtLCub3qyXZ6d1grBfp5e7AqoHQiqABAMYsMyfu6FQC5I6gAAABrEVQAAIC1CCoAAMBabgWV6dOn6/z5887tuLg4paenO7dTUlL0+OOPF111AADghuZWUHnuueeUkpLi3O7Vq5f++9//OrfT0tL05ptvFl11AADghuZWUDHG5LkNAABQlLhGBQAAWIugAgAArOXl7g5vv/22KlasKEnKyMjQO++8o5CQ3/5U9JXXrwAAAFwrt4LKTTfdpNmzZzu3q1Wrpvfeey9bHwAAgKLgVlA5ePBgMZUBAACQnVvXqNx11106e/ZsMZUCAADgyq2gEhsbq4sXLxbZi0+dOlW33Xab/P39FRoaqn79+mn37t1FdnwAAFC6efSun3Xr1mnEiBHauHGj1qxZo4yMDHXt2lWpqameLAsArplfOS8dnNZTB6f1lF85t+9bAPB/3P7qSUlJka+vb559AgICCnSs1atXu2zPmzdPoaGh2rp1q9q3b+9uaQAA4DrjdlCpX79+rs8ZY+RwOHT58uVCFZOUlCRJCgoKyvH59PR0l88WSk5OLtTrAACA0sHtoPLxxx/nGiSuhTFGTz/9tO644w41btw4xz5Tp07V5MmTi/y1AQCAnRzGjQ/sKVOmjBITExUaGlrkhYwYMUIrV67UN998o5o1a+bYJ6cVlfDwcCUlJRX4dBMAAPCs5ORkBQYGFujnd5Ff4ZWRkSEvL/cOO3LkSP3nP/9RXFxcriFFknx8fOTj43OtJQIAgFLCrbt+IiIiVLZs2Ryf27Fjh55++mnVqFGjwMczxuiJJ57Q0qVL9dVXX6lWrVrulAMAAK5zbi19HDhwwGX73LlzWrhwoebMmaPNmzerdevWGj9+fIGPN2LECC1YsECffPKJ/P39lZiYKEkKDAxU+fLl3SkNAABch9y6RiXLN998o7fffltLlixRrVq1tGPHDq1bt05t27Z178Udjhzb582bp6FDh+a7vzvnuAAAgB2K7RqV6dOna+7cuTp37pwGDRqkb775Rk2bNpW3t7cqV67sdqGFyEgAAOAG4lZQef755/Xss89qypQpuV6rAqD4pF3M0C0TPpck7ZjSjb94CuC659bFtFOmTNFHH32kWrVq6dlnn9VPP/1UXHUBAAC4F1Sef/557dmzR++9954SExPVunVrNW3aVMYYnTlzprhqBAAAN6hCfShhhw4dNH/+fB05ckSPPfaYbr31VrVv315t2rTRq6++WtQ1AgCAG9Q1fXpyQECAHn30UW3atEk//PCDbr/9dk2bNq2oagMAADc4t67EO3/+vL788kv16tVLkvTcc8+5/El7Ly8v7du3r2grBAAANyy3gsq7776rTz/91BlUZsyYoUaNGjn/ONvu3bsVFham0aNHF32lAADghuPWqZ8PPvhADz74oEvbggULFBMTo5iYGE2fPl2LFy8u0gIBAMCNy62gsmfPHtWvX9+57evrqzJl/neIVq1aaceOHUVXHQAAuKG5deonKSnJ5ZORT5w44fJ8ZmamyzUrAAAA18KtFZWaNWvm+UfefvzxR9WsWfOaiwIAAJDcDCo9evTQhAkTdOHChWzPnT9/XpMnT1bPnj2LrDgAAHBjc/uzfhYvXqwGDRroiSeeUP369eVwOLRr1y7NmDFDGRkZev7554urVgAAcINxK6hUrVpV69ev12OPPabx48c7P/3Y4XCoS5cumjlzpqpWrVoshQIAgBuP2x+9WqtWLa1evVqnT5/W3r17JUl169ZVUFBQkRcHAABubIX+jPigoCC1atWqKGsBAABwcU2f9QMAAFCcCCoAAMBaBBUAAGAtggpQSh08mebpEgCg2BFUgFLibNpFDZ+/1bnd419f609zNikp7ZIHqwKA4kVQAUqJJz/cpg37Trq0fbv3pEZ+GO+higCg+BFUgFJg/4lzivvlhDKvar9sjOJ+OaEDJ1M9UhcAFDeCClAKHDqd9/UoB08RVABcnwgqQCkQEeSX5/ORwRVKqBIAKFkEFaAUqF2lotrXq5LtC7asw6H29aqoVghBBcD1iaAClBKvD2qu6DohLm1t64bo9UHNPVQRABQ/ggpQSgT6eWv2kBbO7VVPttO7w1op0M/bg1UBQPEiqAClVGRI3tetAMD1gKACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1vLydAEACs6vnJcOTuvp6TIAoMSwogIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALCWR4NKXFycevfurbCwMDkcDi1fvtyT5QAAAMt4NKikpqaqadOmmjFjhifLAAAAlvLy5It3795d3bt392QJAADAYh4NKu5KT09Xenq6czs5OdmD1QAAgOJWqi6mnTp1qgIDA52P8PBwT5cEAACKUakKKs8995ySkpKcj4SEBE+XBAAAilGpOvXj4+MjHx8fT5cBAABKSKlaUQEAADcWj66onDt3Tnv37nVuHzhwQNu2bVNQUJBuuukmD1YGAABs4NGgsmXLFnXs2NG5/fTTT0uShgwZonfeecdDVQEAAFt4NKjceeedMsZ4sgQAAGAxrlEBAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqOUi7mKHI8SsVOX6l0i5meLocAABuWAQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkElHwdPpnm6BAAAblgElaucTbuo4fO3Ord7/Otr/WnOJiWlXfJgVQAA3JgIKld58sNt2rDvpEvbt3tPauSH8R6qCACAGxdB5Qr7T5xT3C8nlHlV+2VjFPfLCR04meqRugAAuFERVK5w6HTe16McPEVQAQCgJBFUrhAR5Jfn85HBFUqoEgAAIBFUXNSuUlHt61XJNihlHQ61r1dFtUIIKgAAlCSCylVeH9Rc0XVCXNra1g3R64Oae6giAABuXASVqwT6eWv2kBbO7VVPttO7w1op0M/bg1UBAHBjIqjkIzIk7+tWAABA8SGoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFjL40Fl5syZqlWrlnx9fdWiRQt9/fXXni4JAABYwqNBZdGiRRo1apReeOEFxcfHq127durevbsOHz7sybIAAIAlPBpUXn31VQ0bNkwPPfSQGjZsqNdee03h4eGaNWuWJ8sCAACW8FhQuXjxorZu3aquXbu6tHft2lXr16/3UFUAAMAmXp564ZMnT+ry5cuqWrWqS3vVqlWVmJiY4z7p6elKT093bicnJxdrjQAAwLM8fjGtw+Fw2TbGZGvLMnXqVAUGBjof4eHhJVEiAADwEI8FlZCQEJUtWzbb6snx48ezrbJkee6555SUlOR8JCQklESpAADAQzwWVMqVK6cWLVpozZo1Lu1r1qxRmzZtctzHx8dHAQEBLg8AAHD98tg1KpL09NNPa/DgwWrZsqWio6P11ltv6fDhw3r00Uc9WRYAALCER4PKH/7wB506dUpTpkzR0aNH1bhxY61atUoRERGeLAsAAFjCo0FFkh5//HE9/vjjni4DAABYyON3/QAAAOTG4ysqNvIr56WD03p6ugwAAG54rKgAAABrEVQAAIC1CCoAAMBaBBUAAGAtggoAALAWQQUAAFiLoAIAAKxFUAEAANYiqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CCgAAsBZBBQAAWIugAgAArOXl6QKuhTFGkpScnOzhSgAAQEFl/dzO+jmel1IdVFJSUiRJ4eHhHq4EAAC4KyUlRYGBgXn2cZiCxBlLZWZm6siRI/L395fD4fB0OcUmOTlZ4eHhSkhIUEBAgKfLsQJjkh1j4orxyI4xccV4ZFdSY2KMUUpKisLCwlSmTN5XoZTqFZUyZcqoZs2ani6jxAQEBPDFdBXGJDvGxBXjkR1j4orxyK4kxiS/lZQsXEwLAACsRVABAADWIqiUAj4+Ppo4caJ8fHw8XYo1GJPsGBNXjEd2jIkrxiM7G8ekVF9MCwAArm+sqAAAAGsRVAAAgLUIKgAAwFoEFQAAYC2CiqXOnDmjwYMHKzAwUIGBgRo8eLDOnj2b5z5Dhw6Vw+FwebRu3bpkCi4GM2fOVK1ateTr66sWLVro66+/zrP/unXr1KJFC/n6+qp27dr697//XUKVlgx3xiM2NjbbXHA4HNq1a1cJVly84uLi1Lt3b4WFhcnhcGj58uX57nM9zxF3x+N6nyNTp07VbbfdJn9/f4WGhqpfv37avXt3vvtdz3OkMGNiwzwhqFjqj3/8o7Zt26bVq1dr9erV2rZtmwYPHpzvfnfffbeOHj3qfKxataoEqi16ixYt0qhRo/TCCy8oPj5e7dq1U/fu3XX48OEc+x84cEA9evRQu3btFB8fr+eff15PPvmklixZUsKVFw93xyPL7t27XeZDvXr1Sqji4peamqqmTZtqxowZBep/vc8Rd8cjy/U6R9atW6cRI0Zo48aNWrNmjTIyMtS1a1elpqbmus/1PkcKMyZZPDpPDKyzY8cOI8ls3LjR2bZhwwYjyezatSvX/YYMGWL69u1bAhUWv1atWplHH33Upe3mm28248ePz7H/uHHjzM033+zS9sgjj5jWrVsXW40lyd3xiImJMZLMmTNnSqA6z5Nkli1blmef632OXKkg43GjzZHjx48bSWbdunW59rmR5ogxBRsTG+YJKyoW2rBhgwIDA3X77bc721q3bq3AwECtX78+z31jY2MVGhqq+vXra/jw4Tp+/Hhxl1vkLl68qK1bt6pr164u7V27ds31/W/YsCFb/27dumnLli26dOlSsdVaEgozHlmaN2+u6tWrq1OnToqJiSnOMq13Pc+Ra3GjzJGkpCRJUlBQUK59brQ5UpAxyeLJeUJQsVBiYqJCQ0OztYeGhioxMTHX/bp3764PPvhAX331lV555RVt3rxZd911l9LT04uz3CJ38uRJXb58WVWrVnVpr1q1aq7vPzExMcf+GRkZOnnyZLHVWhIKMx7Vq1fXW2+9pSVLlmjp0qVq0KCBOnXqpLi4uJIo2UrX8xwpjBtpjhhj9PTTT+uOO+5Q48aNc+13I82Rgo6JDfOkVH96cmkzadIkTZ48Oc8+mzdvliQ5HI5szxljcmzP8oc//MH578aNG6tly5aKiIjQypUrNWDAgEJW7TlXv9f83n9O/XNqL63cGY8GDRqoQYMGzu3o6GglJCTo73//u9q3b1+sddrsep8j7riR5sgTTzyhH3/8Ud98802+fW+UOVLQMbFhnhBUStATTzyhe++9N88+kZGR+vHHH3Xs2LFsz504cSJb2s9L9erVFRERoV9++cXtWj0pJCREZcuWzbZacPz48Vzff7Vq1XLs7+XlpeDg4GKrtSQUZjxy0rp1a73//vtFXV6pcT3PkaJyPc6RkSNH6j//+Y/i4uJUs2bNPPveKHPEnTHJSUnPE4JKCQoJCVFISEi+/aKjo5WUlKRNmzapVatWkqTvvvtOSUlJatOmTYFf79SpU0pISFD16tULXbMnlCtXTi1atNCaNWvUv39/Z/uaNWvUt2/fHPeJjo7WihUrXNq++OILtWzZUt7e3sVab3ErzHjkJD4+vtTNhaJ0Pc+RonI9zRFjjEaOHKlly5YpNjZWtWrVynef632OFGZMclLi88RTV/Eib3fffbeJiooyGzZsMBs2bDBNmjQxvXr1cunToEEDs3TpUmOMMSkpKWbMmDFm/fr15sCBAyYmJsZER0ebGjVqmOTkZE+8hWuycOFC4+3tbebMmWN27NhhRo0aZSpUqGAOHjxojDFm/PjxZvDgwc7++/fvN35+fmb06NFmx44dZs6cOcbb29t8/PHHnnoLRcrd8fjHP/5hli1bZvbs2WN++uknM378eCPJLFmyxFNvocilpKSY+Ph4Ex8fbySZV1991cTHx5tDhw4ZY268OeLueFzvc+Sxxx4zgYGBJjY21hw9etT5SEtLc/a50eZIYcbEhnlCULHUqVOnzH333Wf8/f2Nv7+/ue+++7LdHibJzJs3zxhjTFpamunataupUqWK8fb2NjfddJMZMmSIOXz4cMkXX0TeeOMNExERYcqVK2duvfVWl1vohgwZYjp06ODSPzY21jRv3tyUK1fOREZGmlmzZpVwxcXLnfH429/+ZurUqWN8fX1N5cqVzR133GFWrlzpgaqLT9Ztk1c/hgwZYoy58eaIu+Nxvc+RnMbiyu+Zxtx4c6QwY2LDPHH8X/EAAADW4fZkAABgLYIKAACwFkEFAABYi6ACAACsRVABAADWIqgAAABrEVQAAIC1CCoAAMBaBBWgFElMTNRTTz2lunXrytfXV1WrVtUdd9yhf//730pLS/N0ebmKjIyUw+HQwoULsz3XqFEjORwOvfPOOyVfWA4SExM1cuRI1a5dWz4+PgoPD1fv3r315ZdfZuv70ksvqWzZspo2bZqzLeu95va488478+x35bEA8KGEQKmxf/9+tW3bVpUqVdJLL72kJk2aKCMjQ3v27NHcuXMVFhamPn365LjvpUuXPP6hauHh4Zo3b57LJ4hv3LhRiYmJqlChggcr+5+DBw86x3j69OmKiorSpUuX9Pnnn2vEiBHatWuXS/958+Zp3Lhxmjt3rsaPHy9J2rx5sy5fvixJWr9+vX73u99p9+7dCggIkPTbh0xmmTJlioYPH+5yTH9//+J8i0DpU6J/sB9AoXXr1s3UrFnTnDt3LsfnMzMznf+WZGbNmmX69Olj/Pz8zIQJE4wxxsycOdPUrl3beHt7m/r165t3333Xuc+BAweMJBMfH+9sO3PmjJFkYmJijDH/+zyZTz/91ERFRRkfHx/TqlUr8+OPP+ZZe0REhBk/frzx8fFx+fyp4cOHm5EjR5rAwECXzxs5e/asGT58uKlSpYrx9/c3HTt2NNu2bXM+v3fvXtOnTx8TGhpqKlSoYFq2bGnWrFmT7TX/+te/mgceeMBUrFjRhIeHmzfffDPPOrt3725q1KiR4xhf/VlbsbGxpkaNGubixYsmLCzM5bOXsmSN19X7ZtX3j3/8I896ABjDqR+gFDh16pS++OILjRgxItfVB4fD4bI9ceJE9e3bV9u3b9eDDz6oZcuW6amnntKYMWP0008/6ZFHHtEDDzygmJgYt+sZO3as/v73v2vz5s0KDQ1Vnz59dOnSpTz3qVq1qrp166b58+dLktLS0rRo0SI9+OCDLv2MMerZs6cSExO1atUqbd26Vbfeeqs6deqk06dPS5LOnTunHj16aO3atYqPj1e3bt3Uu3dvHT582OVYr7zyilq2bKn4+Hg9/vjjeuyxx7KtimQ5ffq0Vq9enesYV6pUyWV7zpw5GjRokLy9vTVo0CDNmTMnz/cPoJA8nZQA5G/jxo1Gklm6dKlLe3BwsKlQoYKpUKGCGTdunLNdkhk1apRL3zZt2pjhw4e7tP3+9783PXr0MMa4t6KycOFCZ59Tp06Z8uXLm0WLFuVaf9bqwfLly02dOnVMZmammT9/vmnevLkxxrisqHz55ZcmICDAXLhwweUYderUyXNF5JZbbjGvv/66y2vef//9zu3MzEwTGhqa66fhfvfddzmOcU6SkpKMn5+fc5UnPj7e+Pn5maSkJJd++a2olCtXzvn/l/XIGmsAv2FFBShFrl412bRpk7Zt26ZGjRopPT3d5bmWLVu6bO/cuVNt27Z1aWvbtq127tzpdh3R0dHOfwcFBalBgwYFOk7Pnj117tw5xcXFae7cudlWUyRp69atOnfunIKDg1WxYkXn48CBA9q3b58kKTU1VePGjdMtt9yiSpUqqWLFitq1a1e2FZWoqCjnvx0Oh6pVq6bjx4/nWJv5vw+Sv3qMc7JgwQLVrl1bTZs2lSQ1a9ZMtWvXzvFi4byMHTtW27Ztc3ncfvvtbh0DuN5xMS1QCtStW1cOhyPbaYvatWtLksqXL59tn5xOX1z9Q9gY42wrU6aMsy1Lfqdz8jp2Try8vDR48GBNnDhR3333nZYtW5atT2ZmpqpXr67Y2Nhsz2Wdfhk7dqw+//xz/f3vf1fdunVVvnx53XPPPbp48aJL/6svIHY4HMrMzMyxtnr16snhcGjnzp3q169fnu9j7ty5+vnnn+Xl9b9voZmZmZozZ44efvjhPPe9UkhIiOrWrVvg/sCNiBUVoBQIDg5Wly5dNGPGDKWmphbqGA0bNtQ333zj0rZ+/Xo1bNhQklSlShVJ0tGjR53Pb9u2Lcdjbdy40fnvM2fOaM+ePbr55psLVMeDDz6odevWqW/fvqpcuXK252+99VYlJibKy8tLdevWdXmEhIRIkr7++msNHTpU/fv3V5MmTVStWjUdPHiwQK+fm6CgIHXr1k1vvPFGjmN89uxZSdL27du1ZcsWxcbGuqyExMXFafPmzfrpp5+uqQ4ArlhRAUqJmTNnqm3btmrZsqUmTZqkqKgolSlTRps3b9auXbvUokWLPPcfO3asBg4c6LwwdcWKFVq6dKnWrl0r6bdVmdatW2vatGmKjIzUyZMn9eKLL+Z4rClTpig4OFhVq1bVCy+8oJCQkHxXIbI0bNhQJ0+elJ+fX47Pd+7cWdHR0erXr5/+9re/qUGDBjpy5IhWrVqlfv36qWXLlqpbt66WLl2q3r17y+Fw6M9//nOuKyXumDlzptq0aaNWrVppypQpioqKUkZGhtasWaNZs2Zp586dmjNnjlq1aqX27dtn2z86Olpz5szRP/7xjwK9XkpKihITE13a/Pz8nLcyAxAX0wKlyZEjR8wTTzxhatWqZby9vU3FihVNq1atzMsvv2xSU1Od/SSZZcuWZds/r9uTjTFmx44dpnXr1qZ8+fKmWbNm5osvvsjxYtoVK1aYRo0amXLlypnbbrvN5dbhnOR3K+7VtycnJyebkSNHmrCwMOPt7W3Cw8PNfffd57y1+cCBA6Zjx46mfPnyJjw83MyYMcN06NDBPPXUU3m+ZtOmTc3EiRPzrPXIkSNmxIgRzotda9SoYfr06WNiYmJMenq6CQ4ONtOnT89x31deecWEhISY9PR0Y0z+F9NKyvZ45JFH8qwPuNE4jLnihDQA5CE2NlYdO3bUmTNnst2uCwDFgWtUAACAtQgqAADAWpz6AQAA1mJFBQAAWIugAgAArEVQAQAA1iKoAAAAaxFUAACAtQgqAADAWgQVAABgLYIKAACwFkEFAABY6/8DS7hd5T1YlOcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_cal(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Integral = -0.009 +/- 0.023'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_qini(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 0.373 +/- 0.024'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_qini(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Integral = -0.011 +/- 0.054'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_toc(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 1.049 +/- 0.058'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_toc(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot error bars with uniform confidence bands (UCB), either two-sided (ucb2) or 1-sided (ucb1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 0.373 +/- 0.024'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_qini(tmt=2, err_type='ucb2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 1.049 +/- 0.058'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_toc(tmt=2, err_type='ucb1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### T-Learner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>treatment</th>\n",
       "      <th>blp_est</th>\n",
       "      <th>blp_se</th>\n",
       "      <th>blp_pval</th>\n",
       "      <th>qini_est</th>\n",
       "      <th>qini_se</th>\n",
       "      <th>qini_pval</th>\n",
       "      <th>autoc_est</th>\n",
       "      <th>autoc_se</th>\n",
       "      <th>autoc_pval</th>\n",
       "      <th>cal_r_squared</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>-0.185</td>\n",
       "      <td>0.111</td>\n",
       "      <td>0.096</td>\n",
       "      <td>-0.044</td>\n",
       "      <td>0.022</td>\n",
       "      <td>0.023</td>\n",
       "      <td>-0.083</td>\n",
       "      <td>0.057</td>\n",
       "      <td>0.071</td>\n",
       "      <td>-2.747</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>0.716</td>\n",
       "      <td>0.060</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.025</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.028</td>\n",
       "      <td>0.059</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.626</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   treatment  blp_est  blp_se  blp_pval  qini_est  qini_se  qini_pval  \\\n",
       "0          1   -0.185   0.111     0.096    -0.044    0.022      0.023   \n",
       "1          2    0.716   0.060     0.000     0.371    0.025      0.000   \n",
       "\n",
       "   autoc_est  autoc_se  autoc_pval  cal_r_squared  \n",
       "0     -0.083     0.057       0.071         -2.747  \n",
       "1      1.028     0.059       0.000          0.626  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Initialize DRTester and fit/predict nuisance models\n",
    "t_tester = DRTester(\n",
    "    model_regression=model_regression,\n",
    "    model_propensity=model_propensity,\n",
    "    cate=est_t\n",
    ").fit_nuisance(Xval, Dval, Yval, Xtrain, Dtrain, Ytrain)\n",
    "\n",
    "res_t = t_tester.evaluate_all(Xval, Xtrain)\n",
    "res_t.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Calibration R^2 = -2.747'}, xlabel='Group Mean CATE', ylabel='GATE'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_cal(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Calibration R^2 = 0.626'}, xlabel='Group Mean CATE', ylabel='GATE'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_cal(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Integral = -0.044 +/- 0.022'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_qini(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 0.371 +/- 0.025'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_qini(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 0.373 +/- 0.024'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_qini(tmt=2, err_type='ucb1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 1, Integral = -0.083 +/- 0.057'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_toc(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 1.028 +/- 0.059'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_t.plot_toc(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Treatment = 2, Integral = 1.049 +/- 0.058'}, xlabel='Percentage treated', ylabel='Gain over Random'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_dml.plot_toc(tmt=2, err_type='ucb2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
